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Finding the Third Proportional to 230,089,167 and 323,637,727.50

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Solution

The third proportional to 230,089,167 and 323,637,727.50 is: 455,220,817.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,089,167 : 323,637,727.50 = 323,637,727.50 : x
  2. Step 2: Convert to fraction form
    230,089,167/323,637,727.50 = 323,637,727.50/x
  3. Step 3: Cross multiply
    230,089,167x = 323,637,727.50 × 323,637,727.50
  4. Step 4: Simplify right side
    230,089,167x = 104,741,378,661,364,256
  5. Step 5: Solve for x
    x = 104,741,378,661,364,256/230,089,167
  6. Step 6: Final answer
    x = 455,220,817.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.